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Finding the Fourth Proportional to 717.78, 1,074.60 and 497.70

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Solution

The fourth proportional to 717.78, 1,074.60 and 497.70 is: 745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.78 : 1,074.60 = 497.70 : x
  2. Step 2: Convert to fraction form
    717.78/1,074.60 = 497.70/x
  3. Step 3: Cross multiply
    717.78x = 1,074.60 × 497.70
  4. Step 4: Simplify right side
    717.78x = 534,828.42
  5. Step 5: Solve for x
    x = 534,828.42/717.78
  6. Step 6: Final answer
    x = 745.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.